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Finding the Third Proportional to 738,436 and 1,589,192

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Solution

The third proportional to 738,436 and 1,589,192 is: 3,420,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,436 : 1,589,192 = 1,589,192 : x
  2. Step 2: Convert to fraction form
    738,436/1,589,192 = 1,589,192/x
  3. Step 3: Cross multiply
    738,436x = 1,589,192 × 1,589,192
  4. Step 4: Simplify right side
    738,436x = 2,525,531,212,864
  5. Step 5: Solve for x
    x = 2,525,531,212,864/738,436
  6. Step 6: Final answer
    x = 3,420,108.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.